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GrogVix [38]
3 years ago
9

If a = 4 and b = 2, what is the value of the following expression?

Mathematics
2 answers:
romanna [79]3 years ago
4 0
The correct answer is D. 30.
Nadya [2.5K]3 years ago
3 0

Answer:

D) 30

Step-by-step explanation:

3(a + 4b)-6 = 3 ( 4 + 4*2) - 6

                  = 3( 4+8 ) - 6

                  = 3*12 - 6

                  = 36 - 6 =30

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What is the slope of the line?<br> 2x - 5y = 9<br> Choose 1 answers<br> 5<br> 2<br> O
Zepler [3.9K]

9514 1404 393

Answer:

  D.  2/5

Step-by-step explanation:

The slope is the x-coefficient when the equation is solved for y.

  2x -5y = 9 . . . . . . . given

  -5y = -2x +9 . . . . . .subtract 2x

  y = (-2/-5)x +9/(-5) . . . . divide by -5

  y = 2/5x -9/5

The coefficient of x is 2/5. That is the slope of the line.

The slope is 2/5.

5 0
3 years ago
A portrait has dimensions of 30“ x 60“ and is surrounded by a frame of uniform width. If the total area (Portrait plus frame) is
Law Incorporation [45]

Answer:

The width of the is 4 inches

Step-by-step explanation:

Assume that the width of the frame is x

∵ The width of the fame is x inches

→ That means each dimension will increase by 2x ⇒ x from each side

∵ The portrait has dimensions of 30“ x 60“

∴ Its dimensions including the frame = (30 + 2x) × (60 + 2x)

∴ The total area of the portrait plus frame = (30 + 2x)(60 + 2x)

→ Multiply the brackets

∵ (30 + 2x)(60 + 2x) = 30(60) + 30(2x) + 2x(60) + (2x)(2x)

∴ (30 + 2x)(60 + 2x) = 1800 + 60x + 120x + 4x²

→ Add the like terms

∴ (30 + 2x)(60 + 2x) = 1800 + 180x + 4x²

∴ The total area of the portrait plus frame = 4x² + 180x + 1800

∵ The total area of the portrait plus frame = 2584 square inches

→ Equate the two right sides of the area

∴ 4x² + 180x + 1800 = 2584

→ Subtract 2584 from both sides

∴ 4x² + 180x + 1800 - 2584 = 0

→ Add the like terms in the left side

∴ 4x² + 180x - 784 = 0

→ Divide all terms by 4 to simplify

∴ x² + 45x - 196 = 0

→ Factorize it to find the value of x

∵ x² + 45x - 196 = (x - 4)(x + 49)

→ Equate the right side by 0

∴ (x - 4)(x + 49) = 0

→ Equate each factor by 0

∵ x - 4 = 0  

→ Add 4 to both sides to find x

∴ x = 4

∵ x + 49 = 0

→ Subtract 49 from both sides to find x

∴ x = -49 ⇒ refused it x can not be -ve (no negative dimensions)

∴ The width of the is 4 inches

7 0
3 years ago
What function corresponds to the ordered pairs shown in the table?
Anettt [7]

well, we know it's a line, and to get the equation of any line all we need is two points, let's pick two from the table hmmmm say let's use (-3 , -7) and (3 , 11)

(\stackrel{x_1}{-3}~,~\stackrel{y_1}{-7})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{11}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{11}-\stackrel{y1}{(-7)}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{(-3)}}}\implies \cfrac{11+7}{3+3}\implies \cfrac{18}{6}\implies 3

\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-7)}=\stackrel{m}{3}(x-\stackrel{x_1}{(-3)}) \\\\\\ y+7=3(x+3)\implies y+7=3x+9\implies y = 3x+2

6 0
3 years ago
En la ciudad la temperatura en la noche fue de 2 grados sobre cero y en la madrugada llegó a 12 grados bajo cero. ¿Qué diferenci
alexgriva [62]

Responder:

La temperatura bajó 12 °

Explicación paso a paso:

Dado que:

Temperatura en la noche = + 2 ° (2

Temperatura de la mañana = - 12 (12 ° bajo cero).

La diferencia de temperatura entre la noche y la madrugada:

Temperatura nocturna - temperatura por la mañana temprano

2 - (-12)

2 + 12 = 14

Hay una diferencia de temperatura de 12 °. La temperatura bajó 12 ° entre la noche y la madrugada.

8 0
2 years ago
These Questions is worth 20 Points. No Explanation Required.
avanturin [10]

13. five plus <em>y</em> equal to negative two. y = -7

14. eight plus <em>h</em> equal to twelve. h = 4

15. negative thirteen plus four equal <em>n</em>. n = -9

7 0
3 years ago
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